Question

Find the solution for each of the following:
a. f'(x)=4x, f(1)=6
b. f''(x)=2, f'(2)=5, f(2)=3

Answer 1

dy/dx = 4x
dy = 4x dx
(S) dy = (S) 4x dx

y = 2x^2 + C
6 = 2(1)^2 + C
6 = 2 + C
4 = C

y = 2x^2 + 4

Answer 2

d2y/dx2 = 2
d(dy) = (2 dx) dx

I got no idea with this one.....

Answer 3

f'' (x) = 2
f' (x) = 2x+c --> 2(2)+c=5 --> c=1
f(x) = x^2+c --> 4+c = 3 --> c=-1

Answer 4

yay suzi!!!

Answer 5

for b I got c=-3

Answer 6

on the first deriv.

Answer 7

I meant for the derivitive...not the first. I'm sorry.

Answer 8

f'(x) = 2x+1
f(x) = x^2 + x + c right?

Answer 9

yes:)

Answer 10

yay amistre! LOL

Answer 11

i got me moments :)

Answer 12

hahaha! It's okay! I have them too which is why I refer to this website! :)